Download or read book Applied Complex Variables for Scientists and Engineers written by Yue Kuen Kwok and published by Cambridge University Press. This book was released on 2010-06-24 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.
Download or read book Complex Variables with Applications written by Saminathan Ponnusamy and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students
Download or read book Laurent Series and their Pad Approximations written by A. Bultheel and published by Birkhäuser. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pade approximation problem is, roughly speaking, the local approximation of analytic or meromorphic functions by rational ones. It is known to be important to solve a large scale of problems in numerical analysis, linear system theory, stochastics and other fields. There exists a vast literature on the classical Pade problem. However, these papers mostly treat the problem for functions analytic at 0 or, in a purely algebraic sense, they treat the approximation of formal power series. For certain problems however, the Pade approximation problem for formal Laurent series, rather than for formal power series seems to be a more natural basis. In this monograph, the problem of Laurent-Pade approximation is central. In this problem a ratio of two Laurent polynomials in sought which approximates the two directions of the Laurent series simultaneously. As a side result the two-point Pade approximation problem can be solved. In that case, two series are approximated, one is a power series in z and the other is a power series in z-l. So we can approximate two, not necessarily different functions one at zero and the other at infinity.
Download or read book Complex Analysis written by THEODORE GAMELIN and published by Springer Science & Business Media. This book was released on 2003-07-17 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
Download or read book Complex Analysis written by Murali Rao and published by World Scientific. This book was released on 1991 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in the first few chapters. However, the very basic theory is nevertheless given a thorough treatment so that readers should never feel lost. After the first five chapters, the order may be adapted to suit the course. Each chapter finishes with exercises.
Download or read book Laurent Series Rings and Related Rings written by Askar Tuganbaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-09-21 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, ring-theoretical properties of skew Laurent series rings A((x; φ)) over a ring A, where A is an associative ring with non-zero identity element are described. In addition, we consider Laurent rings and Malcev-Neumann rings, which are proper extensions of skew Laurent series rings.
Download or read book Applied and Computational Complex Analysis Volume 3 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1993-04-16 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
Download or read book Complex Analysis and Applications Second Edition written by Alan Jeffrey and published by CRC Press. This book was released on 2005-11-10 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems. A discussion of complex analysis now forms the first three chapters of the book, with a description of conformal mapping and its application to boundary value problems for the two-dimensional Laplace equation forming the final two chapters. This new structure enables students to study theory and applications separately, as needed. In order to maintain brevity and clarity, the text limits the application of complex analysis to two-dimensional boundary value problems related to temperature distribution, fluid flow, and electrostatics. In each case, in order to show the relevance of complex analysis, each application is preceded by mathematical background that demonstrates how a real valued potential function and its related complex potential can be derived from the mathematics that describes the physical situation.
Download or read book An Introduction to Methods of Complex Analysis and Geometry for Classical Mechanics and Non linear Waves written by Daniel Benest and published by Atlantica Séguier Frontières. This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A First Course in Complex Analysis written by Allan R. Willms and published by Morgan & Claypool Publishers. This book was released on 2022-04-20 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.
Download or read book A First Course in Complex Analysis with Applications written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2009 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.
Download or read book Handbook of Complex Variables written by Steven George Krantz and published by Springer Science & Business Media. This book was released on 1999-10-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This handbook is a reference and authoritative resource for all professionals, practitioners, and researchers in mathematics, physical science, and engineering."--BOOK JACKET.
Download or read book Concise Complex Analysis written by Sheng Gong and published by World Scientific. This book was released on 2007 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a concise textbook of complex analysis for undergraduate and graduate students. Written from the viewpoint of modern mathematics - the d-equation, differential geometry, Lie group, etc. it contains all the traditional material on complex analysis. However, many statement and proofs of classical theorems in complex analysis have been made simpler, shorter and more elegant due to modern mathematical ideas and methods. For example, the Mittag-Leffer theorem is proved by the d-equation, the Picard theorem is proved using the methods of differential geometry, and so on."--BOOK JACKET.
Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Download or read book Complex Variables written by A. K. Kapoor and published by World Scientific. This book was released on 2011 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style that presents important fundamentals a beginner needs to master the technical details of the subject. Similarly, teachers can also adopt the text for a course on complex variables and for mining problems. The organization of problems into focused sets is an important feature of the book.
Download or read book Complex Analysis written by Murali Rao and published by World Scientific Publishing Company. This book was released on 1991-05-17 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in the first few chapters. However, the very basic theory is nevertheless given a thorough treatment so that readers should never feel lost. After the first five chapters, the order may be adapted to suit the course. Each chapter finishes with exercises. Request Inspection Copy
Download or read book Advanced Engineering Mathematics written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2014 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern and comprehensive, the new Fifth Edition of Zill's Advanced Engineering Mathematics, Fifth Edition provides an in depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. A key strength of this best-selling text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fifth Edition is a full compendium of topics that are most often covered in the Engineering Mathematics course or courses, and is extremely flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. The new edition offers a reorganized project section to add clarity to course material and new content has been added throughout, including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determining speed and more. New and Key Features of the Fifth Edition: - Available with WebAssign with full integrated eBook - Two new chapters, Probability and Statistics, are available online - Updated example throughout - Projects, formerly found at the beginning of the text, are now included within the appropriate chapters. - New and updated content throughout including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determing speed and more. - The Student Companion Website, included with every new copy, includes a wealth of study aids, learning tools, projects, and essays to enhance student learning Instructor materials include: complete instructor solutions manual, PowerPoint Image Bank, and Test Bank.
